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19974360000 = 26354724379
BaseRepresentation
bin10010100110100100…
…001000101111000000
31220120001021121210010
4102212210020233000
5311401414010000
613102011504520
71304661154500
oct224644105700
956501247703
1019974360000
118520007341
123a55458140
131b6429b33a
14d76b2da00
157bd8a3d50
hex4a6908bc0

19974360000 has 840 divisors, whose sum is σ = 79603518720. Its totient is φ = 4402944000.

The previous prime is 19974359953. The next prime is 19974360017. The reversal of 19974360000 is 6347991.

It is a tau number, because it is divible by the number of its divisors (840).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 252839961 + ... + 252840039.

Almost surely, 219974360000 is an apocalyptic number.

19974360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19974360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39801759360).

19974360000 is an abundant number, since it is smaller than the sum of its proper divisors (59629158720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19974360000 is an equidigital number, since it uses as much as digits as its factorization.

19974360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 19974360000 in words is "nineteen billion, nine hundred seventy-four million, three hundred sixty thousand".